Search a number
-
+
2180431872 = 214343153
BaseRepresentation
bin1000000111110110…
…1100000000000000
312121221212102020000
42001331230000000
513431142304442
61000210120000
7105014236143
oct20175540000
95557772200
102180431872
11a19884813
1250a280000
1328996c998
1416982605a
15cb653d4c
hex81f6c000

2180431872 has 300 divisors, whose sum is σ = 6851186496. Its totient is φ = 690094080.

The previous prime is 2180431801. The next prime is 2180431889. The reversal of 2180431872 is 2781340812.

2180431872 is a `hidden beast` number, since 218 + 0 + 431 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41140198 + ... + 41140250.

Almost surely, 22180431872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2180431872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425593248).

2180431872 is an abundant number, since it is smaller than the sum of its proper divisors (4670754624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2180431872 is an frugal number, since it uses more digits than its factorization.

2180431872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2180431872 is about 46695.0947316739. The cubic root of 2180431872 is about 1296.7238754425.

The spelling of 2180431872 in words is "two billion, one hundred eighty million, four hundred thirty-one thousand, eight hundred seventy-two".